1128102400 has 120 divisors (see below), whose sum is σ = 2886136704. Its totient is φ = 436531200.

The previous prime is 1128102389. The next prime is 1128102401. The reversal of 1128102400 is 42018211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1128102401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395379 + ... + 398221.

Almost surely, 2^1128102400 is an apocalyptic number.

1128102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1128102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443068352).

1128102400 is an abundant number, since it is smaller than the sum of its proper divisors (1758034304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1128102400 is an equidigital number, since it uses as much as digits as its factorization.

1128102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 1128102400 is about 33587.2356707128. The cubic root of 1128102400 is about 1040.9970713932.

The spelling of 1128102400 in words is "one billion, one hundred twenty-eight million, one hundred two thousand, four hundred".